Rate of convergence of Bernstein polynomials revisited

DOI10.1016/0021-9045(87)90064-5zbMath0619.41005OpenAlexW2043498812MaRDI QIDQ1089540

Z. Ditzian

Publication date: 1987

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(87)90064-5

zbMATH Keywords

Bernstein polynomialsrates of convergenceinterpolation spacesaturation

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Inverse theorems in approximation theory (41A27) Saturation in approximation theory (41A40)

Related Items

\(L^ p\)-inverse theorems for beta operators ⋮ On a conjecture of Z. Ditzian ⋮ Strong type of Steckin inequality for the linear combination of Bernstein operators ⋮ Local and global approximation theorems for positive linear operators ⋮ Learning rates of least-square regularized regression with polynomial kernels ⋮ Pointwise simultaneous approximation by combinations of Bernstein operators

Cites Work

• A global inverse theorem for combinations of Bernstein polynomials
• On interpolation of L//p[a,b and weighted Sobolev spaces]
• A saturation result for combinations of Bernstein polynomials
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